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11122132014 = 2327212610127
BaseRepresentation
bin10100101101110111…
…00100010000101110
31001201010020211212100
422112323210100232
5140234231211024
65035345515530
7542421363600
oct122673442056
931633224770
1011122132014
114798176444
1221a4942ba6
131083319b06
147771c3170
154516667c9
hex296ee442e

11122132014 has 36 divisors (see below), whose sum is σ = 28032314544. Its totient is φ = 3177751752.

The previous prime is 11122132009. The next prime is 11122132027. The reversal of 11122132014 is 41023122111.

11122132014 is a `hidden beast` number, since 111 + 221 + 320 + 14 = 666.

11122132014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6304182 + ... + 6305945.

It is an arithmetic number, because the mean of its divisors is an integer number (778675404).

Almost surely, 211122132014 is an apocalyptic number.

11122132014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11122132014 is an abundant number, since it is smaller than the sum of its proper divisors (16910182530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122132014 is a wasteful number, since it uses less digits than its factorization.

11122132014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610149 (or 12610139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11122132014 its reverse (41023122111), we get a palindrome (52145254125).

The spelling of 11122132014 in words is "eleven billion, one hundred twenty-two million, one hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 12610127 25220254 37830381 75660762 88270889 113491143 176541778 226982286 264812667 529625334 617896223 794438001 1235792446 1588876002 1853688669 3707377338 5561066007 11122132014